[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":15,"16":16,"18":18,"19":19,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":27,"27":29,"28":30,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":38,"36":39,"38":42,"39":44,"40":45,"41":46,"42":47,"43":48,"44":49,"45":50,"46":51,"47":53,"48":54,"49":55,"50":56,"51":57,"52":60,"53":61,"54":62,"55":63,"56":64,"57":65,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"68":77,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"77":87,"78":88,"79":89,"80":90,"81":91,"82":92,"83":93,"84":94,"85":95,"86":96,"87":97,"88":98,"89":99,"90":100,"91":101,"92":102,"93":103,"95":105,"96":106,"97":107,"98":108,"99":109,"100":110,"101":111,"102":112,"103":114,"105":116,"107":118,"108":119,"109":120,"110":121,"111":122,"112":123,"113":124,"114":125,"115":126,"116":127,"117":128,"118":129,"119":130,"120":131,"123":135,"124":136,"125":137,"126":138,"127":140,"128":141,"129":143,"130":145,"131":146,"132":147,"133":148,"134":149,"135":150,"136":151,"137":153,"138":154,"139":155,"140":156,"141":157,"142":158,"143":159,"144":160,"145":161,"146":163,"147":164,"148":166,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"155":174,"156":175,"157":176,"158":177,"159":178,"160":179,"161":180,"162":182,"163":183,"164":184,"165":185,"166":186,"167":187,"168":189,"169":190,"170":191,"172":227,"173":228,"174":229,"175":230,"176":231,"177":232,"178":233,"179":235,"180":236,"181":237,"182":238,"183":239,"184":241,"185":242,"186":243,"187":244,"188":245,"190":247,"191":248,"192":249,"193":250,"194":251,"195":252,"196":254,"197":255,"198":256,"199":257,"200":258,"202":260,"204":262,"205":263,"206":264,"207":265,"208":266,"209":267,"210":268,"211":269,"212":270,"213":271,"214":272,"215":273,"216":274,"217":275,"218":276,"219":277,"220":278,"221":279,"222":280,"223":281,"224":283,"225":284,"226":285,"227":287,"228":288,"229":289,"230":290,"231":291,"232":292,"233":294,"234":295,"235":296,"236":297,"237":298,"238":299,"239":300,"240":301,"241":302,"242":303,"243":305,"244":306,"245":307,"246":308,"247":309,"248":310,"249":311,"250":312,"251":314,"253":316,"254":317,"255":319,"256":320,"257":321,"258":322,"259":323,"260":324,"261":325,"262":326,"263":327,"264":328,"265":329,"266":332,"267":333,"268":334,"269":335,"270":336,"271":337,"272":338,"273":339,"274":340,"275":342,"276":343,"277":344,"278":345,"279":346,"280":347,"281":348,"283":350,"284":351,"286":353,"287":354,"288":356,"289":357,"290":358,"291":359,"292":360,"293":361,"295":363,"296":364,"297":365,"298":366,"299":367,"300":368,"301":369,"302":370,"303":371,"304":372,"305":373,"306":374,"307":375,"308":376,"309":377,"310":378,"311":379,"312":380,"313":381,"315":383,"316":384,"317":385,"318":386,"319":387,"320":388,"321":389,"322":390,"323":391,"324":392,"325":393,"326":394,"327":395,"328":396,"329":397,"330":398,"331":399,"332":400,"333":401,"334":402,"335":403,"336":404,"337":405,"338":406,"339":407,"340":408,"341":409,"342":410,"343":411,"344":412,"345":413,"346":415,"347":416,"348":451,"349":452,"350":456,"351":459,"352":464,"353":465,"354":469,"355":471,"356":476,"357":498,"358":500,"359":501,"360":524,"361":533,"362":539,"363":543,"364":548,"365":560,"366":573,"367":580,"368":581,"369":604,"370":606,"371":608,"372":609,"373":618,"374":622,"375":632,"376":635,"377":657,"378":662,"379":664,"380":671,"381":673,"382":674,"383":676,"384":677,"385":679,"386":682,"387":684,"388":699,"389":703,"390":713,"391":714,"392":719,"393":720,"394":750,"395":758,"396":765,"397":767,"398":770,"399":771,"400":777,"401":792,"402":797,"403":808,"404":812,"405":822,"406":826,"407":828,"408":834,"409":849,"410":857,"411":862,"412":863,"413":866,"414":875,"415":890,"416":894},{"0":20,"1":28,"2":37,"3":41,"4":43,"5":52,"6":58,"7":59,"8":66,"9":86,"10":113,"11":132,"12":139,"13":142,"14":144,"15":152,"16":162,"17":165,"18":173,"19":181,"20":188,"21":192,"22":193,"23":194,"24":197,"25":198,"26":199,"27":200,"28":201,"29":202,"30":203,"31":204,"32":206,"33":207,"34":208,"35":209,"36":210,"37":211,"38":212,"39":214,"40":215,"41":216,"42":217,"43":218,"44":219,"45":220,"46":221,"47":222,"48":223,"49":225,"50":234,"51":240,"52":253,"53":282,"54":286,"55":293,"56":304,"57":318,"58":330,"59":331,"60":341,"61":355,"62":414,"63":417,"64":418,"65":419,"66":420,"67":421,"68":422,"69":423,"70":424,"71":425,"72":426,"73":427,"74":428,"75":429,"76":430,"77":431,"78":432,"79":433,"80":434,"81":435,"82":436,"83":438,"84":439,"85":440,"86":441,"88":443,"89":444,"90":445,"91":446,"92":447,"93":449,"94":450,"95":453,"96":457,"97":485,"98":490,"99":491,"100":494,"101":510,"102":519,"103":521,"104":522,"105":529,"106":530,"107":538,"108":541,"109":547,"110":559,"111":576,"112":578,"113":592,"114":594,"115":599,"116":607,"117":621,"118":627,"119":630,"120":631,"121":646,"122":659,"123":665,"124":668,"125":669,"127":705,"128":709,"129":715,"130":723,"131":725,"132":728,"133":731,"134":739,"135":740,"136":741,"137":744,"138":749,"139":752,"140":759,"141":763,"142":766,"143":769,"144":781,"145":787,"146":789,"147":795,"148":798,"149":805,"151":815,"152":818,"153":820,"154":821,"155":823,"157":829,"158":830,"159":831,"160":832,"161":836,"162":838,"163":840,"164":845,"165":856,"166":870,"167":873,"168":877},{"0":195,"1":196,"2":205,"3":213,"4":224,"5":313,"6":437,"7":448,"8":460,"9":463,"10":472,"11":473,"12":488,"13":492,"14":495,"15":511,"16":527,"17":535,"18":540,"19":544,"20":546,"21":574,"22":579,"23":589,"24":611,"25":616,"26":624,"27":625,"29":638,"30":641,"31":643,"32":660,"33":678,"34":683,"35":691,"37":717,"38":734,"39":742,"40":755,"41":761,"42":780,"43":809,"44":811,"45":843,"46":846,"47":852,"48":858,"49":859,"50":860,"51":865,"52":887,"53":899,"54":900},{"0":478,"1":484,"2":507,"3":516,"4":523,"6":526,"7":536,"8":542,"9":553,"10":565,"11":569,"13":577,"14":593,"15":598,"16":620,"17":656,"18":666,"19":708,"20":721,"21":724,"22":738,"24":786,"25":802,"26":803,"27":807,"28":853,"29":861,"30":867,"31":868,"32":882,"33":883,"34":901},{"0":474,"1":480,"2":554,"3":555,"4":570,"5":575,"6":600,"7":610,"9":619,"10":636,"11":639,"12":663,"13":675,"15":710,"16":718,"17":735,"18":760,"20":783,"21":785,"22":791,"23":801,"24":804,"25":850,"26":884,"27":886,"28":888},{"0":508,"1":513,"2":537,"3":550,"4":603,"5":614,"6":629,"7":651,"8":655,"9":672,"10":687,"11":706,"13":711,"14":788,"15":794,"16":827,"17":854,"18":898},[483,503,515,518,545,552,588,595,602,617,681,716,764,790,799],{"0":479,"1":496,"2":499,"3":505,"4":568,"5":653,"7":737,"8":751,"9":778,"10":864,"11":889},[512,563,584,587,590,650,722,726,733,813,885,891],[506,591,623,692,697,704,776,810,855],[455,475,517,520,566,601,690,839,872,897],[487,489,685,696,757,817,880],[504,531,562,634,645,837,842],[556,637,747,793,819,844,851,869],[454,534,743,896],[466,502,597,658],[497,549,642],[551,613,670,756,876],[468,686,698],[532,746,893],[557,585,649,654,694,753],[461,633,732,773,874],[462,467,567,572,626,784,879],[482,582,615,796],[477,558,583,680,772],[486,561,729,835,847],[667,736,782,814,833],[493,768,878],[605,730],{"0":458,"2":689,"4":702,"5":748,"6":762},[644,647,648],[661,688,712,754],[514,528,871],[470,774,816],[586,745],[881],[596,652],[640,892],[509,841,848],[895],[564]]